Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504g |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-143143206912 = -1 · 226 · 33 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 3 -5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3948,97200] |
[a1,a2,a3,a4,a6] |
j |
-961504803/20224 |
j-invariant |
L |
4.1300727195965 |
L(r)(E,1)/r! |
Ω |
1.0325181799447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504bc1 1422e1 45504i1 |
Quadratic twists by: -4 8 -3 |